Partial-wave analysis to determine the spin of $\Xi(1690)^-$ and $\Xi(1820)^-$ produced in $\overline{p}p$ annihilation

TL;DR

This paper uses a model-independent tensor formalism to analyze $ar{p}p$ reactions, aiming to determine the spins of $ ext{Xi}(1690)^-$ and $ ext{Xi}(1820)^-$ resonances through partial-wave analysis.

Contribution

It introduces a model-independent method to identify partial-wave amplitudes, aiding in spin determination of hyperon resonances in $ar{p}p$ collisions.

Findings

Partial-wave amplitude analysis can distinguish spin states at threshold.

The method identifies zero amplitudes for spin-1/2 resonances in s-wave production.

Provides a framework for future experimental spin-parity determinations.

Abstract

Recently [arXiv:2201.03852v2] the PANDA collaboration studied the feasibility of determining the spin and parity of the $\Xi(1690)^{-}$and $\Xi(1820)^{-}$ resonances in the $\Lambda K^-$ system produced in $\bar{p}p$ collisions via the reaction channel $\overline{p} p \rightarrow \bar{\Xi}^{+} \Lambda K^{-}$. This contribution aims to study these reactions using a model-independent irreducible tensor formalism developed earlier. This study leads us to identify the partial-wave amplitude, which would be zero if $\Xi(1690)^{-}$ or $\Xi(1820)^{-}$ had spin-1/2, provided these resonances are produced at threshold (s-wave production).